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A041213
Denominators of continued fraction convergents to sqrt(117).
3
1, 1, 5, 11, 49, 60, 1249, 1309, 6485, 14279, 63601, 77880, 1621201, 1699081, 8417525, 18534131, 82554049, 101088180, 2104317649, 2205405829, 10925940965, 24057287759, 107155092001, 131212379760
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).
FORMULA
From Colin Barker, Jul 19 2012: (Start)
a(n) = 1298*a(n-6) - a(n-12).
G.f.: -(x^10 - x^9 + 5*x^8 - 11*x^7 + 49*x^6 - 60*x^5 - 49*x^4 - 11*x^3 - 5*x^2 - x - 1)/((x^2 - 3*x - 1)*(x^2 + 3*x - 1)*(x^4 - 3*x^3 + 10*x^2 + 3*x + 1)*(x^4 + 3*x^3 + 10*x^2 - 3*x + 1)). (End)
MATHEMATICA
Denominator[Convergents[Sqrt[117], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Sequence in context: A097743 A350648 A176609 * A142238 A370769 A149514
KEYWORD
nonn,cofr,frac,easy
STATUS
approved